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331144020441133 = 1719479060025949
BaseRepresentation
bin100101101001011000111100…
…1101101010011100000101101
31121102111001121010221012222121
41023102301321231103200231
5321400430423213104013
63132141243551512541
7126515236345365334
oct11322617155234055
91542431533835877
10331144020441133
11965704326a5529
1231181b1a528751
13112a09935cc423
145bab6557acd1b
152843c38a3258d
hex12d2c79b5382d

331144020441133 has 4 divisors (see below), whose sum is σ = 350623080467100. Its totient is φ = 311664960415168.

The previous prime is 331144020441079. The next prime is 331144020441187.

331144020441133 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (331144020441079) and next prime (331144020441187).

It can be written as a sum of positive squares in 2 ways, for example, as 283170915148489 + 47973105292644 = 16827683^2 + 6926262^2 .

It is a cyclic number.

It is not a de Polignac number, because 331144020441133 - 213 = 331144020432941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331144020441233) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9739530012958 + ... + 9739530012991.

It is an arithmetic number, because the mean of its divisors is an integer number (87655770116775).

Almost surely, 2331144020441133 is an apocalyptic number.

It is an amenable number.

331144020441133 is a deficient number, since it is larger than the sum of its proper divisors (19479060025967).

331144020441133 is a wasteful number, since it uses less digits than its factorization.

331144020441133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19479060025966.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 331144020441133 in words is "three hundred thirty-one trillion, one hundred forty-four billion, twenty million, four hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 17 19479060025949 331144020441133